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Finding the Fourth Proportional to 106,315.02, 159,472.76 and 99,819.63

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Solution

The fourth proportional to 106,315.02, 159,472.76 and 99,819.63 is: 149,729.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,315.02 : 159,472.76 = 99,819.63 : x
  2. Step 2: Convert to fraction form
    106,315.02/159,472.76 = 99,819.63/x
  3. Step 3: Cross multiply
    106,315.02x = 159,472.76 × 99,819.63
  4. Step 4: Simplify right side
    106,315.02x = 15,918,511,399.18
  5. Step 5: Solve for x
    x = 15,918,511,399.18/106,315.02
  6. Step 6: Final answer
    x = 149,729.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.